Quiz about Algèbre 2017-2018 (1)

Question 1

$$e^{ heta i}+e^{- heta i}=...............$$

Accepted Answer

$$2\ \cos\ heta$$

Answer

$$e^{2 heta i}$$

Answer

$$2\ \sin\ heta$$

Answer

$$e^{-2 heta i}$$

Question 2

Si $$Si\ C_n^9\ :\ C_n^7=7\ :\ 9\ $$ , Alors $$n=.............$$

Accepted Answer

15

Answer

7

Answer

16

Answer

9

Question 3

ABC est un triangle tel que $$A\left(2\ ,\ 3\ ,\ 1\right)\ ,\ B\left(3\ ,\ 5\ ,\ 4\right)\ et\ \vec{\ BC}=\left(-1\ ,\ \ 4\ ,\ 0\right)$$ , $$m\left(\angle\ ABC\right)$$ est ,,,,,,,,,,,,,,,,,,,,,,,,,,

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 4

ABC est un triangle tel que $$A\left(2\ ,\ 3\ ,\ 1\right)\ ,\ \ B\left(3\ ,\ 5\ ,\ 4\right)\ et\ \vec{\ BC}=\left(-1\ ,\ 4\ ,\ 0\right)$$ , Alors la composante vectorielle pour le vectuer $$\vec{\ AC}$$ dans la direction de $$\vec{\ AB}$$ est ...................

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 5

Si $$\vec{\ A}=\left(-2\ ,\ 4\ ,\ 6\right)\ ,\ \vec{\ B}=\left(0\ ,\ k\ \ 3\right)$$ ou $$k\in z^+\ et\ \left|\left|\vec{\ AB}\right|\right|=7$$ , Alors la valeur de k=...........................

Accepted Answer

10

Answer

8

Answer

6

Answer

4

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